Generalized operator-scaling random ball model

zbMath1403.60024arXiv1807.00214MaRDI QIDQ4561259

Hermine Biermé, Olivier Durieu, Yizao Wang

Publication date: 5 December 2018

Full work available at URL: https://arxiv.org/abs/1807.00214

zbMATH Keywords

limit theoremgeneralized random fieldrandom ball modelstable random fieldanisotropic random fieldoperator-scaling

Mathematics Subject Classification ID

Random fields (60G60) Central limit and other weak theorems (60F05) Stable stochastic processes (60G52)

Related Items (2)

Scaling limits for a random boxes model ⋮ Zeros of smooth stationary Gaussian processes

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Random balls model with dependence
• An invariance principle for fractional Brownian sheets
• Self-similar random fields and rescaled random balls models
• Rescaled weighted random ball models and stable self-similar random fields
• Fractional Poisson field and fractional Brownian field: why are they resembling but different?
• Operator scaling stable random fields
• Distribution-valued processes arising from independent Brownian motions
• Gaussian and their subordinates self-similar random generalized fields
• Generalized Ornstein-Uhlenbeck processes and infinite particle branching Brownian motions
• Is network traffic approximated by stable Lévy motion or fractional Brownian motion?
• Diffusion approximation of nuclear space-valued stochastic differential equations driven by Poisson random measures
• Occupation time fluctuations of weakly degenerate branching systems
• Invariance principles for operator-scaling Gaussian random fields
• Scaling transition for long-range dependent Gaussian random fields
• Exact moduli of continuity for operator-scaling Gaussian random fields
• A long range dependence stable process and an infinite variance branching system
• Scaling limits for random fields with long-range dependence
• Hölder regularity for operator scaling stable random fields
• Invariance principles for non-isotropic long memory random fields
• A Poisson bridge between fractional Brownian motion and stable Lévy motion
• Processus linéaires, processus généralisés
• Infinite dimensional functional convergences in random balls model
• Stochastic Processes and Long Range Dependence
• Anisotropic scaling of the random grain model with application to network traffic
• Functional macroscopic behavior of weighted random ball model
• COMPUTATION OF THE PERIMETER OF MEASURABLE SETS VIA THEIR COVARIOGRAM. APPLICATIONS TO RANDOM SETS
• Poisson random balls: self-similarity and X-ray images
• An Introduction to Sparse Stochastic Processes
• Foundations of Modern Probability
• Limit theorems for continuous-time random walks with infinite mean waiting times
• Long-Memory Processes
• Fernique-type inequalities and moduli of continuity for anisotropic Gaussian random fields
• Long-Range Dependence and Self-Similarity
• Inequalities for the $r$th Absolute Moment of a Sum of Random Variables, $1 \leqq r \leqq 2$

This page was built for publication: Generalized operator-scaling random ball model